Question

1. (3²)²⁴

Explanation:

Step1: Apply power of a power rule

When raising a power to a power, multiply exponents: $(a^m)^n = a^{m \times n}$. First handle the innermost exponent:
$$(3^2)^2 = 3^{2 \times 2} = 3^4$$

Step2: Apply power rule again

Now raise the result to the 4th power:
$$(3^4)^4 = 3^{4 \times 4} = 3^{16}$$

Step3: Calculate the final value

Compute $3^{16}$:
$$3^{16} = 43046721$$

Answer:

$3^{16}$ or 43046721